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Finding the Third Proportional to 148,515 and 201,765

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Solution

The third proportional to 148,515 and 201,765 is: 274,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,515 : 201,765 = 201,765 : x
  2. Step 2: Convert to fraction form
    148,515/201,765 = 201,765/x
  3. Step 3: Cross multiply
    148,515x = 201,765 × 201,765
  4. Step 4: Simplify right side
    148,515x = 40,709,115,225
  5. Step 5: Solve for x
    x = 40,709,115,225/148,515
  6. Step 6: Final answer
    x = 274,107.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.